Zobrazeno 1 - 10
of 21
pro vyhledávání: '"Arnon Ploymukda"'
Publikováno v:
AIMS Mathematics, Vol 9, Iss 5, Pp 11452-11467 (2024)
We characterized weighted spectral geometric means (SGM) of positive definite matrices in terms of certain matrix equations involving metric geometric means (MGM) $ \sharp $ and semi-tensor products $ \ltimes $. Indeed, for each real number $ t $ and
Externí odkaz:
https://doaj.org/article/c93bba488f184ebcb25db788ed3e62ea
Autor:
Arnon Ploymukda, Pattrawut Chansangiam
Publikováno v:
AIMS Mathematics, Vol 8, Iss 11, Pp 26153-26167 (2023)
We extend the notion of classical metric geometric mean (MGM) for positive definite matrices of the same dimension to those of arbitrary dimensions, so that usual matrix products are replaced by semi-tensor products. When the weights are arbitrary re
Externí odkaz:
https://doaj.org/article/fd1e42f99abf460a819a4f610ae7d4fc
Autor:
Pattrawut Chansangiam, Arnon Ploymukda
Publikováno v:
AIMS Mathematics, Vol 8, Iss 10, Pp 23519-23533 (2023)
We investigate the Riccati matrix equation $ X A^{-1} X = B $ in which the conventional matrix products are generalized to the semi-tensor products $ \ltimes $. When $ A $ and $ B $ are positive definite matrices satisfying the factor-dimension condi
Externí odkaz:
https://doaj.org/article/22fcb1d884534e78b3b4674a98c3b224
Autor:
Arnon Ploymukda, Pattrawut Chansangiam
Publikováno v:
Songklanakarin Journal of Science and Technology (SJST), Vol 41, Iss 4, Pp 727-733 (2019)
We introduce the Tracy-Singh sum for operators on a Hilbert space, generalizing both the Tracy-Singh sum for matrices and the tensor sum for operators. The Tracy-Singh sum is shown to be compatible with algebraic operations and order relations. The
Externí odkaz:
https://doaj.org/article/4b8b9c7dddc042d2969dc248adabe0f1
Autor:
Arnon Ploymukda, Pattrawut Chansangiam
Publikováno v:
Songklanakarin Journal of Science and Technology (SJST), Vol 40, Iss 3, Pp 595-601 (2018)
We generalize the notions of Khatri-Rao sums for matrices and tensor sums for Hilbert space operators to KhatriRao sums for Hilbert space operators. This kind of operator sum is compatible with algebraic operations and order relations. We investiga
Externí odkaz:
https://doaj.org/article/7046fcbea7c14080a0e9aa1397426802
Autor:
Arnon Ploymukda, Pattrawut Chansangiam
Publikováno v:
Symmetry, Vol 12, Iss 3, p 422 (2020)
We consider bounded continuous fields of self-adjoint operators which are parametrized by a locally compact Hausdorff space Ω equipped with a finite Radon measure μ . Under certain assumptions on synchronous Khatri−Rao property of the fields of o
Externí odkaz:
https://doaj.org/article/84d5e97efa38468593689bd2bdbd185c
Autor:
Arnon Ploymukda, Pattrawut Chansangiam
Publikováno v:
Symmetry, Vol 11, Iss 10, p 1256 (2019)
In this paper, we establish several integral inequalities of Chebyshev type for bounded continuous fields of Hermitian operators concerning Tracy-Singh products and weighted Pythagorean means. The weighted Pythagorean means considered here are parame
Externí odkaz:
https://doaj.org/article/59f5a48341694119b83f1601ae3415e8
Autor:
Arnon Ploymukda, Pattrawut Chansangiam
Publikováno v:
Journal of Mathematics, Vol 2016 (2016)
We introduce the notion of Khatri-Rao product for operator matrices acting on the direct sum of Hilbert spaces. This notion generalizes the tensor product and Hadamard product of operators and the Khatri-Rao product of matrices. We investigate algebr
Externí odkaz:
https://doaj.org/article/0c87b3daf72d40b88a507393e8a1a69b
Autor:
Arnon Ploymukda, Pattrawut Chansangiam
Publikováno v:
Malaysian Journal of Fundamental and Applied Sciences. 16:223-227
We establish a number of operator inequalities between three kinds of means, namely, weighted arithmetic/harmonic/geometric means, and two kinds of operator products, namely, Tracy-Singh products and Khatri-Rao products. These results are valid under
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2701bf55c664b58c3ade5ed6f614e401
https://doi.org/10.11113/mjfas.v16n2.1359
https://doi.org/10.11113/mjfas.v16n2.1359
Autor:
Pattrawut Chansangiam, Arnon Ploymukda
Publikováno v:
Malaysian Journal of Fundamental and Applied Sciences. 14:382-386
We provide estimations for the operator norm, the trace norm, and the Hilbert-Schmidt norm for Khatri-Rao products of Hilbert space operators. It follows that the Khatri-Rao product is continuous on norm ideals of compact operators equipped with the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ed13666ead9d9f3753d41a91cddd1078
https://doi.org/10.11113/mjfas.v14n4.881
https://doi.org/10.11113/mjfas.v14n4.881